Publication Cover
Educational Psychology
An International Journal of Experimental Educational Psychology
Volume 28, 2008 - Issue 4
3,703
Views
138
CrossRef citations to date
0
Altmetric
Original Articles

Development of a measure of early mathematics achievement using the Rasch model: the Research‐Based Early Maths Assessment

, &
Pages 457-482 | Received 16 Jun 2007, Accepted 29 Oct 2007, Published online: 20 May 2008

References

  • Andrich , D. 2004 . “ Controversy and the Rasch model: A characteristic of incompatible paradigms? ” . In Introduction to Rasch measurement , Edited by: Smith , E.V. and Smith , R.M. 143 – 166 . Maple Grove , MN : JAM Press .
  • Barnett , W.S. , Hustedt , J.T. , Hawkinson , L.E. and Robin , K.B. 2006 . The state of preschool 2006 , New Brunswick , NJ : National Institute for Early Education Research .
  • Baroody , A.J. 2004 . “ The developmental bases for early childhood number and operations standards ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , D.H. , Sarama , J. and DiBiase , A.‐M. 173 – 219 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Blevins‐Knabe , B. and Musun‐Miller , L. 1996 . Number use at home by children and their parents and its relationship to early mathematical performance . Early Development and Parenting , 5 : 35 – 45 .
  • Bond , T.G. and Fox , C.M. 2001 . Apply the Rasch model: Fundamental measurement in the human sciences , Mahwah , NJ : Lawrence Erlbaum Associates .
  • Bracken , B.A. 1998 . Bracken Basic Concept Scale–Revised , San Antonio , TX : Psychological Corporation, Harcourt Brace and Company . (Original work published 1984)
  • Canobi , K.H. , Reeve , R.A. and Pattison , P.E. 2002 . Young children’s understanding of addition concepts . Educational Psychology , 22 : 513 – 532 .
  • Clarke , B. and Shinn , M.R. 2004 . A preliminary investigation into the identification and development of early mathematics curriculum‐based measurement . School Psychology Review , 33 : 234 – 248 .
  • Clarke , D.M. , Cheeseman , J. , Gervasoni , A. , Gronn , D. , Horne , M. McDonough , A. 2002 . Early Numeracy Research Project final report , Melbourne : Department of Education, Employment, and Training, the Catholic Education Office, and the Association of Independent Schools Victoria .
  • Clements , D.H. and Battista , M.T. 1992 . “ Geometry and spatial reasoning ” . In Handbook of research on mathematics teaching and learning , Edited by: Grouws , D.A. 420 – 464 . New York : Macmillan .
  • Clements , D.H. and Conference Working Group . 2004 . “ Part one: Major themes and recommendations ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , D. H. , Sarama , J. and DiBiase , A.‐M. 1 – 72 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Clements , D.H. and Sarama , J. 2004 . Building Blocks for early childhood mathematics . Early Childhood Research Quarterly , 19 : 181 – 189 .
  • Clements , D.H. and Sarama , J. 2007a . “ Building Blocks—SRA Real Math Teacher’s Edition, Grade PreK ” . Columbus , OH : SRA/McGraw‐Hill .
  • Clements , D.H. and Sarama , J. 2007b . “ Early childhood mathematics learning ” . In Second handbook of research on mathematics teaching and learning , Edited by: Lester , F.K. Jr . 461 – 555 . New York : Information Age Publishing .
  • Clements , D.H. and Sarama , J. 2007c . Effects of a preschool mathematics curriculum: Summative research on the Building Blocks project . Journal for Research in Mathematics Education , 38 : 136 – 163 .
  • Clements , D.H. , Sarama , J. and DiBiase , A.‐M. 2004 . Engaging young children in mathematics: Standards for early childhood mathematics education , Mahwah , NJ : Lawrence Erlbaum Associates .
  • Clements , D.H. , Sarama , J. and Gerber , S. 2007 . “ Mathematics knowledge of low‐income entering preschoolers ” . Manuscript submitted for publication
  • Clements , D.H. , Sarama , J. and Wilson , D.C. Composition of geometric figures . Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education . Edited by: Heuvel‐Panhuizen , M.v.d. Vol. 2 , pp. 273 – 280 . Utrecht , , The Netherlands : Freudenthal Institute .
  • Clements , D.H. , Wilson , D.C. and Sarama , J. 2004 . Young children’s composition of geometric figures: A learning trajectory . Mathematical Thinking and Learning , 6 : 163 – 184 .
  • de Lemos , M. and Doig , B. 1999 . Who am I? Developmental assessment manual , Camberwell, Victoria , , Australia : Australian Council for Educational Research .
  • Doig , B. and de Lemos , M. 2000 . I can do maths , Camberwell, Victoria , , Australia : Australian Council for Educational Research .
  • Doig , B. , McCrae , B. and Rowe , K. 2003 . A good start to numeracy: Effective numeracy strategies from research and practice in early childhood , Canberra : Australian Council for Educational Research .
  • Fuson , K.C. 1997 . Research‐based mathematics curricula: New educational goals require programs of four interacting levels of research . Issues in Education , 3 : 67 – 79 .
  • Fuson , K.C. , Smith , S.T. and Lo Cicero , A. 1997 . Supporting Latino first graders’ ten‐structured thinking in urban classrooms . Journal for Research in Mathematics Education , 28 : 738 – 760 .
  • Ginsburg , H.P. and Russell , R.L. 1981 . “ Social class and racial influences on early mathematical thinking ” . In Monographs of the Society for Research in Child Development Vol. 46(6, serial no. 193) ,
  • Griffin , S. 2004 . “ Number Worlds: A research‐based mathematics program for young children ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , D.H. , Sarama , J. and DiBiase , A.‐M. 325 – 342 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Griffin , S. , Case , R. and Capodilupo , A. 1995 . “ Teaching for understanding: The importance of the central conceptual structures in the elementary mathematics curriculum ” . In Teaching for transfer: Fostering generalization in learning , Edited by: McKeough , A. , Lupart , J. and Marini , A. 121 – 151 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Hinkle , D. 2000 . School involvement in early childhood , Washington , DC : National Institute on Early Childhood Development and Education, US Department of Education Office of Educational Research and Improvement .
  • Holloway , S.D. , Rambaud , M.F. , Fuller , B. and Eggers‐Pierola , C. 1995 . What is "appropriate practice" at home and in child care? Low‐income mothers’ views on preparing their children for school . Early Childhood Research Quarterly , 10 : 451 – 473 .
  • Jordan , N.C. , Huttenlocher , J. and Levine , S.C. 1992 . Differential calculation abilities in young children from middle‐ and low‐income families . Developmental Psychology , 28 : 644 – 653 .
  • Kilpatrick , J. , Swafford , J. and Findell , B. 2001 . Adding it up: Helping children learn mathematics , Washington , DC : National Academy Press .
  • Klein , A. , Starkey , P. and Wakeley , A. 2000 . Child Math Assessment: Preschool battery (CMA) , Berkeley : University of California .
  • Linacre , J.M. 2005 . A user’s guide to Winsteps/Ministep Rasch‐model computer program Chicago
  • Mulligan , J. , Mitchelmore , M. and Prescott , A. Case studies of children’s development of structure in early mathematics: A two‐year longitudinal study . Proceedings of the 29th Conference of the International Group for Psychology in Mathematics Education . Edited by: Chick , H.L. and Vincent , J.L. Vol. 4 , pp. 1 – 8 . Melbourne , Australia : PME .
  • Mulligan , J. , Prescott , A. , Papic , M. and Mitchelmore , M. Improving early numeracy through a Pattern and Structure Mathematics Awareness Program (PASMAP) . Building connections: Theory, research and practice (Proceedings of the 28th annual conference of the Mathematics Education Research Group of Australia) . Edited by: Clarkson , P. , Downton , A. , Gronn , D. , McDonough , A. , Pierce , R. and Roche , A. E. pp. 376 – 383 . Sydney , , Australia : Mathematics Education Research Group of Australia .
  • Mullis , I.V.S. , Martin , M.O. , Beaton , A.E. , Gonzalez , E.J. , Kelly , D.L. and Smith , T.A. 1997 . Mathematics achievement in the primary school years: IEA’s third international mathematics and science study (TIMSS) , Chestnut Hill , MA : Center for the Study of Testing, Evaluation, and Educational Policy, Boston College .
  • National Center for Education Statistics . 2000 . America’s kindergartners (NCES 2000070) , Washington , DC : U.S. Government Printing Office .
  • National Council of Teachers of Mathematics . 2000 . Principles and standards for school mathematics , Reston , VA : Author .
  • National Council of Teachers of Mathematics . 2006 . Curriculum focal points for prekindergarten through grade 8 mathematics: A quest for coherence , Reston , VA : Author .
  • Sarama , J. and Clements , D.H. 2002 . Building Blocks for young children’s mathematical development . Journal of Educational Computing Research , 27 (1&2) : 93 – 110 .
  • Sarama , J. , Clements , D.H. and Vukelic , E.B. The role of a computer manipulative in fostering specific psychological/mathematical processes . Proceedings of the 18th annual meeting of the North America Chapter of the International Group for the Psychology of Mathematics Education . Edited by: Jakubowski , E. , Watkins , D. and Biske , H. Vol. 2 , pp. 567 – 572 . Columbus , OH : ERIC Clearinghouse for Science, Mathematics, and Environmental Education .
  • Saxe , G.B. , Guberman , S.R. and Gearhart , M. 1987 . “ Social processes in early number development ” . In Monographs of the Society for Research in Child Development Vol. 52(2, serial no. 216) ,
  • Siegler , R.S. and Booth , J.L. 2004 . Development of numerical estimation in young children . Child Development , 75 : 428 – 444 .
  • Smith , R.M. 2004 . “ Fit analysis in latent trait measurement models ” . In Introduction to Rasch measurement , Edited by: Smith , E.V. and Smith , R.M. 73 – 92 . Maple Grove , MN : JAM Press .
  • Starkey , P. , Klein , A. , Chang , I. , Qi , D. , Lijuan , P. and Yang , Z. 1999 . Environmental supports for young children’s mathematical development in China and the United States , Albuquerque , NM : Society for Research in Child Development .
  • Steffe , L.P. 1991 . Operations that generate quantity . Learning and Individual Differences , 3 : 61 – 82 .
  • Tabachnick , B.G. and Fidell , L.S. 1983 . Using multivariate statistics , New York : Harper & Row .
  • Thomson , S. , Rowe , K. , Underwood , C. and Peck , R. 2005 . Numeracy in the early years: Project Good Start , Camberwell, Victoria , , Australia : Australian Council for Educational Research .
  • Van de Rijt , B.A.M. and Van Luit , J.E.H. 1999 . Milestones in the development of infant numeracy . Scandinavian Journal of Psychology , 40 : 65 – 71 .
  • Van de Rijt , B.A.M. , Van Luit , J.E.H. and Pennings , A.H. 1999 . The construction of the Utrecht Early Mathematical Competence Scales . Educational and Psychological Measurement , 59 : 289 – 309 .
  • Watson , J.M. , Callingham , R.A. and Kelly , B.A. 2007 . Students’ appreciation of expectation and variation as a foundation for statistical understanding . Mathematical Thinking and Learning , 9 : 83 – 130 .
  • Wilson , M. 2005 . Constructing measures: An item response modeling approach , Hillsdale , NJ : Lawrence Erlbaum Associates .
  • Woodcock , R.W. , McGrew , K.S. and Mather , N. 2001 . Woodcock–Johnson III Tests of Achievement , (3rd ed.) , Itasca , IL : Riverside Publishing Company .
  • Wright , B.D. and Stone , M.H. 1979 . Best test design: Rasch measurement , Chicago : MESA Press .
  • Wright , R.J. 2003 . A mathematics recovery: Program of intervention in early number learning . Australian Journal of Learning Disabilities , 8 (4) : 6 – 11 .
  • Yuzawa , M. and Bart , W.M. 1999 . Development of size comparison strategies in young children , Albuquerque , NM : Society for Research in Child Development .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.